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Finding the Fourth Proportional to 27,303.32, 40,954.98 and 7,582.05

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Solution

The fourth proportional to 27,303.32, 40,954.98 and 7,582.05 is: 11,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.32 : 40,954.98 = 7,582.05 : x
  2. Step 2: Convert to fraction form
    27,303.32/40,954.98 = 7,582.05/x
  3. Step 3: Cross multiply
    27,303.32x = 40,954.98 × 7,582.05
  4. Step 4: Simplify right side
    27,303.32x = 310,522,734.54
  5. Step 5: Solve for x
    x = 310,522,734.54/27,303.32
  6. Step 6: Final answer
    x = 11,373.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.